# Derivatives of power and constant functions Find the derivative of

Derivatives of power and constant functions Find the derivative of the following functions.
$y={x}^{5}$
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Find $\frac{d}{dx}\left({x}^{5}\right)$
Apply the power rule $\frac{d}{dx}\left({x}^{n}\right)=n{x}^{n-1}\text{with}n=5:$
$\left(\begin{array}{c}\frac{d}{dx}\left({x}^{5}\right)\end{array}\right)=\left(5{x}^{4}\right)$
Thus,$\frac{d}{dx}\left({x}^{5}\right)=5{x}^{4}$
$\frac{d}{dx}\left({x}^{5}\right)=5{x}^{4}$